Our focus to presenting two very general integral formulas whose integrands are the integrand given in the Oberhettinger's integral formula and a finite product of the generalized Bessel function of the first kind, which are expressed in terms of the generalized Lauricella functions. Among a large number of interesting and potentially useful special cases of our main results, some integral formulas involving such elementary functions are also considered.
Certain new unified integrals associated with the product of generalized Bessel functions / Agarwal, Praveen; Ritelli, Daniele; Kilicman, Adem; Jain, Shilpi. - ELETTRONICO. - 1:(2016), pp. 50-56. [10.5899/2016/cna-00244]
Certain new unified integrals associated with the product of generalized Bessel functions
RITELLI, DANIELE;
2016
Abstract
Our focus to presenting two very general integral formulas whose integrands are the integrand given in the Oberhettinger's integral formula and a finite product of the generalized Bessel function of the first kind, which are expressed in terms of the generalized Lauricella functions. Among a large number of interesting and potentially useful special cases of our main results, some integral formulas involving such elementary functions are also considered.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
